Question 8120: In a gaggle of geese and a flock of sheep, there are 98 eyes and 162 legs. How many geese and how many sheep are there? Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! Let S = number of sheep and G = number of geese.
4S + 2G = 162 The total number of legs.
2S + 2G = 98 The total number of eyes. Rewrite as: 2G = 98-2S and substitute into the first equation.
4S + 98-2S = 162 Simplify and solve for S.
2S + 98 = 162
2S = 64
S = 32 There are 32 sheep.
2G = 98-2S
2G = 98-64
2G = 34
G = 17 There are 17 geese.
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